Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Partial Differential Equations Cauchy Problem For First Order PDE
The Cauchy problem
\(\left.\begin{array}{c} 2 u_x+3 u_y=5 \\ u=1 \text { on the line } 3 x-2 y=0 \end{array}\right\}\)
has
1
exactly one solution
2
exactly two solutions
3
infinitely many solutions
4
no solution
5
Question Not Attempted